Access Full Article

Abstract

top
This is the second part of the paper for a Non-Newtonian flow. Dual
combined Finite Element Methods are used to investigate the little
parameter-dependent problem arising in a nonliner three field version of
the Stokes system for incompressible fluids, where the viscosity obeys a
general law including the Carreau's law and the Power law. Certain
parameter-independent error bounds are obtained which solved the problem
proposed by Baranger in [4] in a unifying way. We also give some
stable finite element spaces by exemplifying the abstract B-B
inequality. The continuous approximation for the extra stress is achieved
as a by-product of the new method.

@article{Ming2010, abstract = {
This is the second part of the paper for a Non-Newtonian flow. Dual
combined Finite Element Methods are used to investigate the little
parameter-dependent problem arising in a nonliner three field version of
the Stokes system for incompressible fluids, where the viscosity obeys a
general law including the Carreau's law and the Power law. Certain
parameter-independent error bounds are obtained which solved the problem
proposed by Baranger in [4] in a unifying way. We also give some
stable finite element spaces by exemplifying the abstract B-B
inequality. The continuous approximation for the extra stress is achieved
as a by-product of the new method.
}, author = {Ming, Pingbing, Zhong-ci Shi}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis}, keywords = {Dual combined FEM; non-Newtonian flow; parameter-independent error bounds.}, language = {eng}, month = {3}, number = {5}, pages = {1051-1067}, publisher = {EDP Sciences}, title = {Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem}, url = {http://eudml.org/doc/197612}, volume = {34}, year = {2010},}

TY - JOURAU - Ming, PingbingAU - Zhong-ci ShiTI - Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent ProblemJO - ESAIM: Mathematical Modelling and Numerical AnalysisDA - 2010/3//PB - EDP SciencesVL - 34IS - 5SP - 1051EP - 1067AB -
This is the second part of the paper for a Non-Newtonian flow. Dual
combined Finite Element Methods are used to investigate the little
parameter-dependent problem arising in a nonliner three field version of
the Stokes system for incompressible fluids, where the viscosity obeys a
general law including the Carreau's law and the Power law. Certain
parameter-independent error bounds are obtained which solved the problem
proposed by Baranger in [4] in a unifying way. We also give some
stable finite element spaces by exemplifying the abstract B-B
inequality. The continuous approximation for the extra stress is achieved
as a by-product of the new method.
LA - engKW - Dual combined FEM; non-Newtonian flow; parameter-independent error bounds.UR - http://eudml.org/doc/197612ER -

Tianxiao Zhou, Stabilized finite element methods for a model parameter-dependent problem, in Proc. of the Second Conference on Numerical Methods for P.D.E, edited by Longan Ying and Benyu Guo. World Scientific, Singapore (1991) 192-194.